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3 years ago

Write the equation that is the translation of y=|x| right 7 units and down 9 units.

Mathematics

1 answer:

DedPeter [7]3 years ago

8 0

Answer:

$y=|x-7|-9$ .

Step-by-step explanation:

The given function is $y=|x|$ .

When this function is translated to the right 7 units and down 9 units, then the equation becomes

$y=|x-7|-9$ .

Always remember that; $y=|x-c|-k$ is a transformation that translates the graph of $y=|x|$ c units to the right and k units down.

The correct choice is the first option.

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3 years ago

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What are the roots of x in -10x2 + 12x − 9 = 0?

hoa [83]

Answer:

$x_1=\frac{3(2+i\sqrt{6})}{10}$

$x_2=\frac{3(2-i\sqrt{6})}{10}$

Step-by-step explanation:

Use the Quadratic formula:

$x=\frac{-b\±\sqrt{b^2-4ac}}{2a}$

You can identify that, in this case:

$a=-10\\b=12\\c=-9$

Now you need to substitute these values into the formula:

$x=\frac{-12\±\sqrt{12^2-4(-10)(-9)}}{2(-10)}$

$x=\frac{-12\±\sqrt{-216}}{-20}$

Remember that:

$i=\sqrt{-1}$

Therefore,rewriting and simplifying, you get:

$x=\frac{-12\±6i\sqrt{6}}{-20}$

$x=\frac{-6(2\±i\sqrt{6})}{-2(10)}$

$x=\frac{3(2\±i\sqrt{6})}{10}$

Then, you get the following roots:

$x_1=\frac{3(2+i\sqrt{6})}{10}$

$x_2=\frac{3(2-i\sqrt{6})}{10}$

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2 years ago

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4,193x381=1,597,000 why is this product incorrect

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4,193x381=1,597,533

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2 years ago

What are the ratios for sin A and cos A? The triangle is not drawn to scale.

dalvyx [7]

Answer:

$SinA = \frac{84}{85}$ and $CosA=\frac{13}{85}$

Step-by-step explanation:

The ratios of sine and cos are defined as follows:

$Sin A = \frac{Opposite}{Hypotenuse}$ , and

$CosA = \frac{Adjacent}{Hypotenuse}$

The hypotenuse is always the side opposite of the 90 degree angle (for the given triangle, the hypotenuse is 85)

Since we are looking at the angle A, the opposite side with respect to A would be the side length of 84. That leaves the side 13 as the adjacent side.

Thus, we can now write:

$Sin A = \frac{Opposite}{Hypotenuse}\\SinA = \frac{84}{85}$

$CosA = \frac{Adjacent}{Hypotenuse}\\CosA=\frac{13}{85}$

The correct answer is the first answer choice.

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2 years ago